Item Infomation
Title: | Computing torsion subgroups of Jacobians of hyperelliptic curves of genus 3 |
Authors: | J. Steffen, Müller Berno, Reitsma |
Issue Date: | 2023 |
Publisher: | Springer |
Abstract: | We introduce an algorithm to compute the structure of the rational torsion subgroup of the Jacobian of a hyperelliptic curve of genus 3 over the rationals. We apply a Magma implementation of our algorithm to a database of curves with low discriminant due to Sutherland as well as a list of curves with small coefficients. In the process, we find several torsion structures not previously described in the literature. The algorithm is a generalisation of an algorithm for genus 2 due to Stoll, which we extend to abelian varieties satisfying certain conditions. |
Description: | CC BY |
URI: | https://link.springer.com/article/10.1007/s40993-023-00429-x https://dlib.phenikaa-uni.edu.vn/handle/PNK/7619 |
Appears in Collections | OER - Khoa học Tự nhiên |
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